Question

Open sets in the infinite product of $\mathbb{N}^\infty$

score 508 · Answer 1 · 2026-04-13 04:51:37

508

Views

Open sets in the infinite product of $\mathbb{N}^\infty$

Published on 13 Apr 2026 - 4:51

score 65 · Answer 2 · 2026-04-15 01:03:11

65

Views

Topological name for $D^m \times \mathbb{R}^n$

Published on 15 Apr 2026 - 1:03

score 166 · Answer 3 · 2026-04-11 12:08:41

166

Views

Characterizing measurability in product spaces

Published on 11 Apr 2026 - 12:08

score 67 · Answer 4 · 2026-04-14 00:32:20

67

Views

Uniform Convergence on Standard Probability Space

Published on 14 Apr 2026 - 0:32

score 61 · Answer 5 · 2026-04-15 14:11:37

61

Views

$\coprod_{x\in X} (\{x\}\times Y)$ and $X\times Y$ are homeomorphic

Published on 15 Apr 2026 - 14:11

score 385 · Answer 6 · 2026-05-11 05:33:30

385

Views

Separability of $\mathbb R^{[0,1]}$ in the product topology

Published on 11 May 2026 - 5:33

score 65 · Answer 7 · 2026-04-15 21:11:29

65

Views

Prove that ${\prod_{i\in\mathbb{N}} X_i}$ and ${\prod_{i\in\mathbb{N}} Y_i}$ are homeomorphic.

Published on 15 Apr 2026 - 21:11

score 216 · Answer 8 · 2026-04-15 17:44:47

216

Views

Equivalence of Product Metric and $d_1$ Metric

Published on 15 Apr 2026 - 17:44

score 25 · Answer 9 · 2026-04-14 11:52:53

25

Views

product-topology on $\mathbb{R} \times X$

Published on 14 Apr 2026 - 11:52

score 139 · Answer 10 · 2026-04-15 19:18:21

Let $X$ and $Y$ are topological spaces with indiscrete topologies then prove that the product topology $X\times Y$ will be indiscrete space

score 191 · Answer 11 · 2026-04-13 08:02:26

191

Views

Projection of a closed set in $\mathbb{R}^2$ to one of the factors need not be closed.

Published on 13 Apr 2026 - 8:02

score 39 · Answer 12 · 2026-04-12 00:55:10

39

Views

Reference request on functions defined on Cartesian products

Published on 12 Apr 2026 - 0:55

score 282 · Answer 13 · 2026-04-16 03:53:48

282

Views

Proving the closed graph theorem in general topology

Published on 16 Apr 2026 - 3:53

score 62 · Answer 14 · 2026-04-13 19:23:29

62

Views

Closure of a solid triangle in $\mathbb{R}_{(-)} \times \mathbb{R}_{\textit{finite complement}}$

Published on 13 Apr 2026 - 19:23

score 581 · Answer 15 · 2026-04-30 05:08:33

581

Views

Proving $R_L \times R_L$ is completely regular. Meaning $R_L \times R_L$ is an example of a space which is completely regular, but not normal

Published on 30 Apr 2026 - 5:08

List Question

Open sets in the infinite product of $\mathbb{N}^\infty$

Topological name for $D^m \times \mathbb{R}^n$

Characterizing measurability in product spaces

Uniform Convergence on Standard Probability Space

$\coprod_{x\in X} (\{x\}\times Y)$ and $X\times Y$ are homeomorphic

Separability of $\mathbb R^{[0,1]}$ in the product topology

Prove that ${\prod_{i\in\mathbb{N}} X_i}$ and ${\prod_{i\in\mathbb{N}} Y_i}$ are homeomorphic.

Equivalence of Product Metric and $d_1$ Metric

product-topology on $\mathbb{R} \times X$

Let $X$ and $Y$ are topological spaces with indiscrete topologies then prove that the product topology $X\times Y$ will be indiscrete space

Projection of a closed set in $\mathbb{R}^2$ to one of the factors need not be closed.

Reference request on functions defined on Cartesian products

Proving the closed graph theorem in general topology

Closure of a solid triangle in $\mathbb{R}_{(-)} \times \mathbb{R}_{\textit{finite complement}}$

Proving $R_L \times R_L$ is completely regular. Meaning $R_L \times R_L$ is an example of a space which is completely regular, but not normal

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